Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of 7/x
Derivative of z
Derivative of -2x
Derivative of 1/x^5
Integral of d{x}:
x^3+3*x^2
Graphing y =:
x^3+3*x^2
Limit of the function:
x^3+3*x^2
Identical expressions
x^ three + three *x^ two
x cubed plus 3 multiply by x squared
x to the power of three plus three multiply by x to the power of two
x3+3*x2
x³+3*x²
x to the power of 3+3*x to the power of 2
x^3+3x^2
x3+3x2
Similar expressions
y=x^4-2x^3+3x^2-5x
-4x^3+3x^2+36x-30
x^3+3x^2+3x+2
y=-x^3+3x^2-5
x^3-3*x^2
y=-x^3+3x^2+5

The derivative of the function/ x^3+3*x^2

Derivative of x^3+3*x^2

The solution

You have entered [src]

 3      2
x  + 3*x

$$x^{3} + 3 x^{2}$$

x^3 + 3*x^2

Detail solution

Differentiate $x^{3} + 3 x^{2}$ term by term:
1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x^{2}$ goes to $2 x$
  So, the result is: $6 x$
The result is: $3 x^{2} + 6 x$
Now simplify:

$3 x \left(x + 2\right)$

The answer is:

$3 x \left(x + 2\right)$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   2      
3*x  + 6*x

$$3 x^{2} + 6 x$$

Simplify

The second derivative [src]

6*(1 + x)

$$6 \left(x + 1\right)$$

Simplify

3-я производная [src]

$$6$$

Simplify

The third derivative [src]

$$6$$

Simplify